Chapter 13.5, Problem 1.3ACP

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# What is the mass percent of hexane in a mixture with heptane if the mole fraction of hexane is 0.20?Figure B A temperature-composition diagram for hexane (C6H14)-heptane (C7H16) mixtures.

Interpretation Introduction

Interpretation: it should be determined that the mass percent of hexane in a mixture with heptane if the mole fraction of hexane is 0.20.

Concept introduction:

• Mole fraction is one of the concentrations expressing term which is equal to the number of moles of a component divided by the total number of a solution. The mole fraction of all components of a solution, when added together will equal to 1

The mole fraction of component a can be determined by using the equation,

Molefractionofa(Xa)=MoleofaTotalmoles

• Percentage by mass: ratio of amount of solute to amount of solution and multiplied with 100.

percentbymass=amountofsoluteamountofsolute+amountofsolvent×100%

• Massofthesubstance=Amountofthesubstance×Molarmass
Explanation

Mass of hexane is 17.2â€‰g and it is obtained by multiplying the number of moles of hexane with its molar mass (molar mass of hexane is 86.18â€‰â€‰g/mol ).

Mass of hexane C6H14 =â€‰â€‰0.2â€‰â€‰molâ€‰Ã—â€‰86.18â€‰g/mol=â€‰â€‰17.2â€‰g

The mole fraction of all components of a solution, when added together will equal to 1.

Therefore the number of mole of heptane C7H16 is 1â€‰-â€‰0.20â€‰â€‰=â€‰â€‰0.8â€‰mol

Â Â Â Â Mass of heptane C7H16 =â€‰0.8â€‰â€‰molâ€‰Ã—â€‰100

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